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GCSE Statistics

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Mind Map on GCSE Statistics, created by lilyankee8 on 02/06/2015.
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Mind Map by lilyankee8, updated more than 1 year ago
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GCSE Statistics
  1. The Binomial Distrubution
    1. expansions
      1. p=1/6 chance if getting a 6.
        1. q=5/6 chance of being late
          1. Probability of rolling a 6?
            1. p(6) = 1/6
                1. =1/6 x 1/6 x 1/6 = 1/216
                2. p3 = p x p x p
                3. q = 5/6
                  1. 3pq2 = 3x1/6 x (5/6)2
                    1. = 25/72
              2. p= 0.4 chance of being late
                1. q= 0.6 chance of being late
                  1. (p+q)3 = p2 + 2pq + q2
                    1. (p+q)3 = p3 + 3p2q + 3pq2 + q3
                      1. (p+q)4 = p4 + 4p3q + 6p2q2 + 4pq3 + q4
                        1. (p+q)5 = p5 + p5 + 5p4q + 10p3q2 + 10p2q3 + 5pq4 + q5
                2. Index Numbers
                  1. index number for 2007: 60÷50 x 100 = 120
                    1. Work out the index number for each year using 2006 as the base year:
                      1. Index number for 2008: 65 ÷ 60 x 100 = 108.3 = 108
                        1. Index Number = Current Price÷base year price x 100
                          1. Chain Based Index Number = current price ÷ previous year price x 100
                            1. Weighted index number E (index number x weight) ÷ E weight
                              1. E = Sum
                        2. Simple Index numbers:
                        3. Time Series
                          1. NOTES:
                            1. Comment on the highest and lowest values and if there is any patterns
                              1. Calculate the average seasonal variation for quarter 1
                                1. -42 - 44 - 40 ÷ 3 = -42
                              2. Time is plotted on the horizontals
                                1. Example: The trend line for the sales of ice cream is rising, yet the sales in the first and fourth quarter are less then the trend line suggest , while those in the second and third quearters are above the trend suggesting a seasonal variation. More ice cream is sold in the summer months when weather conditions are ideal for eating ice cream.
                            2. Collecting Data
                              1. Random Sample : Where each piece of data has an equal chance of being picked.
                                1. Stratified Sample: Where the data sampled is in proportion to the population
                                  1. Quota Sample: The amount of quota of each group is given eg 100 woman were sampled
                                    1. Systematic Sampling- Data is chosen at regular intervals eg every 10th person
                                      1. Cluster Sampling: The population is divided into groups (cluster) and then a group is chosen at random
                                        1. Pilot survey:pre-test
                                          1. suitable for bigger survey
                                        2. Census: This is when all of the data in the population is taken. For example a census of the entire population of the UK is taken every 10 years.
                                          1. Unbiased
                                            1. Time consuming
                                            2. Sample
                                              1. Cheaper
                                                1. Biased
                                                  1. Primary Data
                                                    1. Reliable
                                                      1. Time consuming
                                                        1. Secondary Data
                                                          1. Already been collected for you. Ready to analyse
                                                            1. Unreliable
                                                      2. Calculations
                                                        1. Frequency Distributions
                                                          1. Means age e.g 408 ÷ 30 = 13.6
                                                          2. Means from grouped data
                                                            1. Mean height = 1705 ÷ 15 = 113.67
                                                            2. Standard deviation

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